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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "Learn: Why any non-zero number to the power nought is one"

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Quiz: The product of the roots of a cubic

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Spot My Mistake: The relations between roots and coefficients for a quartic

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Final Revision: Checking that the roots found satisfy the original equation

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Worked Example: Solving a quadratic inequality by sketching the parabola

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Final Revision: The region of the plane satisfying a set of linear inequalities

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Worked Example: The difference between a permutation and a combination

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Spot My Mistake: The identity that n choose r equals n choose n minus r

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Final Revision: Combinations used with the addition and multiplication principles

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Quiz: The compound angle formula for sine of A plus B

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Explain Back: The compound angle formula for tan of A plus B

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Spot My Mistake: The double angle formula for sine

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Learn: Solving sin x equals a given value between 0 and 360 degrees

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Quiz: Solving tan x equals a given value, and the period of the tangent

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Worked Example: The shape, period and range of the cosine curve

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Explain Back: The effect of b in y equals sin bx on the period

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Spot My Mistake: The effect of c in y equals sin x plus c

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Final Revision: The graphs of y equals sec x, cosec x and cot x

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Quiz: The gradient of the line through two points

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